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 J. Sib. Fed. Univ. Math. Phys., 2017, Volume 10, Issue 2, Pages 206–215 (Mi jsfu541)

A class of Toeplitz operators in several complex variables

Dmitrii P. Fedchenko

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: In order to study the Toeplitz algebras related to a Dirac operators in a neighborhood of a closed bounded domain $\mathcal{D}$ with smooth boundary in $\mathbb{C}^n$ we introduce a singular Cauchy type integral. We compute its principal symbol, thus initiating the index theory.

Keywords: Dirac operators, Cauchy type integral, symbol, Toeplitz operators, index.

 Funding Agency Grant Number Ministry of Education and Science of the Russian Federation NSH-9149.2016.1 The research of the author was supported by the Deutscher Akademischer Austauschdienst and by the Russian Federation President grant of support of leading scientific schools NSH-9149.2016.1.

DOI: https://doi.org/10.17516/1997-1397-2017-10-2-206-215

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UDC: 517.983.24
Accepted: 20.02.2017
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Citation: Dmitrii P. Fedchenko, “A class of Toeplitz operators in several complex variables”, J. Sib. Fed. Univ. Math. Phys., 10:2 (2017), 206–215

Citation in format AMSBIB
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